Question

If 30 gumballs can be purchased for 3 dollars, write a function that represents the cost in cents of ‘d' dozen gumballs.

Answer 1

Answer:

The function that represents the cost in cents of ‘d' dozen gumballs is y = 10d .

Step-by-step explanation:

As given

If 30 gumballs can be purchased for 3 dollars .

i.e

30 gumballs = $3

Now find out the cost of one  gumballs .

$1\ gumballs = \ \frac{3}{30}$

$1\ gumballs = \ \frac{1}{10}$

$1\ gumballs = \ \ 0.1$

As 1 dollar = 100 cents

$1\ gumballs = 0.1\times 100\ cents$

$1\ gumballs = \frac{1\times 100}{10} \ cents$

1 gumballs = 10 cents

Thus the cost of one gumball is 10 cents .

As d = dozen gumballs.

Let us assume that the cost for ‘d' dozen gumballs = y

Than the function becomes

y = 10d

Therefore the  function that represents the cost in cents of ‘d' dozen gumballs is y = 10d .